Consider the Legendre equation: .
Which of these statements is true?
A) x = 1 is a regular singular point and x = -1 is an irregular singular point.
B) x = 1 is an irregular singular point and x = -1 is a regular singular point.
C) Both x = 1 and x = -1 are regular singular points.
D) Both x = 1 and x = -1 are irregular singular points.

Question

Consider the Legendre equation:  .
Which of these statements is true?
A) x = 1 is a regular singular point and x = -1 is an irregular singular point. 
B) x = 1 is an irregular singular point and x = -1 is a regular singular point. 
C) Both x = 1 and x = -1 are regular singular points. 
D) Both x = 1 and x = -1 are irregular singular points.

Quizplus · Accepted Answer

The Answer of Consider the Legendre equation:  .
Which of these statements is true?
A) x = 1 is a regular singular point and x = -1 is an irregular singular point. 
B) x = 1 is an irregular singular point and x = -1 is a regular singular point. 
C) Both x = 1 and x = -1 are regular singular points. 
D) Both x = 1 and x = -1 are irregular singular points.

Consider the Legendre Equation: